Jones and 𝑄 polynomials for 2-bridge knots and links

Kanenobu, Taizo

doi:10.1090/S0002-9939-1990-1025279-0

Jones and $Q$ polynomials for $2$-bridge knots and links
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Proc. Amer. Math. Soc. 110 (1990), 835-841 Request permission

Abstract:

It is known that the $Q$ polynomial of a $2$-bridge knot or link can be obtained from the Jones polynomial. We construct arbitrarily many $2$-bridge knots or links with the same $Q$ polynomial but distinct Jones polynomials.

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A new polynomial invariant for knots and links—preliminary report

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